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The cluster value problem in spaces of continuous functions


Authors: W. B. Johnson and S. Ortega Castillo
Journal: Proc. Amer. Math. Soc. 143 (2015), 1559-1568
MSC (2010): Primary 32-XX; Secondary 46-XX
DOI: https://doi.org/10.1090/S0002-9939-2014-12190-3
Published electronically: December 10, 2014
MathSciNet review: 3314069
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Abstract: We study the cluster value problem for certain Banach algebras of holomorphic functions defined on the unit ball of a complex Banach space $ X$. The main results are for spaces of the form $ X=C(K).$


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Additional Information

W. B. Johnson
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: johnson@math.tamu.edu

S. Ortega Castillo
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: ortega@math.tamu.edu

DOI: https://doi.org/10.1090/S0002-9939-2014-12190-3
Received by editor(s): November 3, 2012
Received by editor(s) in revised form: December 22, 2012, February 25, 2013, and July 8, 2013
Published electronically: December 10, 2014
Additional Notes: The authors were supported in part by NSF DMS 10-01321
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.